Contact structures on M × S2

Jonathan Bowden; Diarmuid Crowley; András I. Stipsicz

doi:10.1007/s00208-013-0963-9

Contact structures on M × S²

Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

We show that if a manifold M admits a contact structure, then so does M × S². Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M × T².

Original language	English
Pages (from-to)	351-359
Number of pages	9
Journal	Mathematische Annalen
Volume	358
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-013-0963-9
Publication status	Published - 2014
Externally published	Yes

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10.1007/s00208-013-0963-9

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Contact structures on M × S2

Abstract

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Contact structures on M × S²